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Analyzing Automata with Presburger Arithmetic and Uninterpreted Function Symbols

Vlad Rusu 1
1 PAMPA - Models and Tools for Programming Distributed Parallel Architectures
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, INRIA Rennes
Abstract : We study a class of extended automata defined by guarded commands over Presburger arithmetic with uninterpreted functions. On the theoretical side, we show that the bounded reachability problem is decidable in this model. On the practical side, the class is useful for modeling programs with potentially infinite data structures, and the reachability procedure can be used for symbolic simulation, testing, and verification.
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https://hal.inria.fr/inria-00072531
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 10:11:53 AM
Last modification on : Thursday, February 11, 2021 - 2:48:04 PM
Long-term archiving on: : Sunday, April 4, 2010 - 11:12:17 PM

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  • HAL Id : inria-00072531, version 1

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Vlad Rusu. Analyzing Automata with Presburger Arithmetic and Uninterpreted Function Symbols. [Research Report] RR-4100, INRIA. 2001. ⟨inria-00072531⟩

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